Maths – Algebra Equation and Inequation

4. Which value of x is in the solution set of the inequality: -2x + 5 > 17 ?

12

-8

-6

-4

5. The graph of y = 2^x lies in which Quadrants?

I, III

I, IV

I, II

II, III

6. Solve for x: 0.7x + 2(x – 3) = 0.2x + 3

4.5

2.5

3.5

3.6

7. Given y = 3^x, evaluate y when x = 3.

9

27

3

81

8. Solve for x: (x-2)/(x-1) = (x+4)/(2x+2)

{0}

{5}

{0, -5}

{0, 5}

9. Solve for y: y² – 81 = 0

{-9, 9}

{9}

{81}

{-1, 1}

10. Which inequality is represented by the graph at the right?

y < -1/2x + 1

y < 2x +1

y < 1/2x + 1

y < -2x + 1

11. If 12x = 4(x + 3) then x equals

1.5

12/11

5

3/8

12. Lightning quickly heats the air causing it to expand, which produces the sound of thunder. Sound travels approximately 1 mile in 5 seconds. Knowing D = r • t (where D = distance, r = rate, and t = time), how far away is a thunderstorm when you notice a 3-second delay between the flash of lightning and the sound of thunder?

1 mile away

3/5 mile away

1/2 mile away

1/5 mile away

13. Solve for a: a2 = 36

{4, 9}

{-6}

{-6, 6}

{6}

14. The graph of y = 2^x contains which of these points?

(0, 0)

(1, 1)

(0, 1)

(0, 2)

15. The larger root of the equation (x + 4)(x – 3) = 0 is

4

-4

-3

3

16. If you multiply an inequality by a negative number, when should you reverse the inequality symbol?

Never

Sometimes

Always

Only if the negative number is a fraction

17. Which point is a solution to this linear quadratic system? y = x^2 + 4x +3 and y = 2x + 6

(1, -8)

(3, 0)

(0, -3)

(-3, 0)

18. Solve for y: xy – d = m

xy = m+d

y = (m-d)/x

y = (m+d)/x

y = m+d-x

19. Which set of points is in the solution set for the system of inequalities: x – y > 1 and y < 2x – 1.